Question

5x2 la puterea 3x+1+3x4 la putereax x 2 la putereax- 8 la puterea x+1=40

Answer 1

$5\cdot 2^{3x+1} +3\cdot 4^{x} \cdot 2^{x} - 8^{x+1}=40 \\ 5\cdot (2^{3})^{x} \cdot 2+3\cdot 8^{x} - 8^{x} \cdot 8=40 \\ 10\cdot 8^{x}+3\cdot 8^{x} -8\cdot 8^{x}=40 \\ 5\cdot 8^{x}=40 \\ 8^{x}=8 \\ x=1$